A231910 - OEIS

%I #4 Nov 15 2013 07:27:07

%S 9,74,1740,31167,614818,11900005,232002949,4514456816,87921502956,

%T 1712027812433,33339878588595,649247937999815,12643318523771247,

%U 246213016602719670,4794699013265077280,93370921217915873674

%N Number of 3Xn 0..2 arrays with no element having a strict majority of its horizontal, diagonal and antidiagonal neighbors equal to itself plus one mod 3, with upper left element zero (rock paper and scissors drawn positions)

%C Row 3 of A231908

%H R. H. Hardin, <a href="/A231910/b231910.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 25*a(n-1) -74*a(n-2) -852*a(n-3) +4181*a(n-4) -7225*a(n-5) +7538*a(n-6) +128074*a(n-7) -575187*a(n-8) +474991*a(n-9) +1290498*a(n-10) -5643395*a(n-11) +11235081*a(n-12) -6876205*a(n-13) -13812844*a(n-14) +44285324*a(n-15) -61998106*a(n-16) +30746044*a(n-17) +32934284*a(n-18) -85982375*a(n-19) +89888553*a(n-20) +25323577*a(n-21) -123867238*a(n-22) +3745228*a(n-23) +100101799*a(n-24) -19008471*a(n-25) -4298843*a(n-26) -46455630*a(n-27) +34645416*a(n-28) -8451931*a(n-29) +2428296*a(n-30) +1766396*a(n-31) -1604198*a(n-32) +204663*a(n-33) -25395*a(n-34) +7366*a(n-35) +1736*a(n-36) +144*a(n-37) for n>38

%e Some solutions for n=4

%e ..0..0..0..1....0..1..1..0....0..1..2..0....0..1..2..2....0..0..1..1

%e ..1..1..1..0....2..2..2..1....2..0..0..1....1..0..1..0....0..0..1..1

%e ..0..0..2..2....2..2..1..1....0..2..1..0....0..2..0..2....2..1..1..1

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 15 2013